62 GLISSANDO

GLISSANDO (version 1.0) is a share library package that implements a GAP library of small semi-groups and near-rings. The library files can be systematically searched for near-rings and semigroups with certain properties.

The GLISSANDO package (version 1.0) was written by

Christof Naccent127 obauer
Institut faccent127 ur Mathematik
Johannes Kepler Universitaccent127 at Linz
4040 Linz, Austria

e-mail noebsi@bruckner.stoch.uni-linz.ac.at

and supported by the Austrian it Fonds zur Faccent127 orderung der wissenschaftlichen Forschung, Project P11486-TEC.

Subsections

1. Installing the Glissando Package
2. Transformations
3. Transformation
4. AsTransformation
5. IsTransformation
6. IsSetTransformation
7. IsGroupTransformation
8. IdentityTransformation
9. Kernel for transformations
10. Rank for transformations
11. Operations for transformations
12. DisplayTransformation
13. Transformation records
14. Transformation Semigroups
15. TransformationSemigroup
16. IsSemigroup
17. IsTransformationSemigroup
18. Elements for semigroups
19. Size for semigroups
20. DisplayCayleyTable for semigroups
21. IdempotentElements for semigroups
22. IsCommutative for semigroups
23. Identity for semigroups
24. SmallestIdeal
25. IsSimple for semigroups
26. Green
27. Rank for semigroups
28. LibrarySemigroup
29. Transformation semigroup records
30. Near-rings
31. IsNrMultiplication
32. Nearring
33. IsNearring
34. IsTransformationNearring
35. LibraryNearring
36. DisplayCayleyTable for near-rings
37. Elements for near-rings
38. Size for near-rings
39. Endomorphisms for near-rings
40. Automorphisms for near-rings
41. FindGroup
42. NearringIdeals
43. InvariantSubnearrings
44. Subnearrings
45. Identity for near-rings
46. Distributors
47. DistributiveElements
48. IsDistributiveNearring
49. ZeroSymmetricElements
50. IsAbstractAffineNearring
51. IdempotentElements for near-rings
52. IsBooleanNearring
53. NilpotentElements
54. IsNilNearring
55. IsNilpotentNearring
56. IsNilpotentFreeNearring
57. IsCommutative for near-rings
58. IsDgNearring
59. IsIntegralNearring
60. IsPrimeNearring
61. QuasiregularElements
62. IsQuasiregularNearring
63. RegularElements
64. IsRegularNearring
65. IsPlanarNearring
66. IsNearfield
67. LibraryNearringInfo
68. Nearring records
69. Supportive Functions for Groups
70. DisplayCayleyTable for groups
71. Endomorphisms for groups
72. Automorphisms for groups
73. InnerAutomorphisms
74. SmallestGeneratingSystem
75. IsIsomorphicGroup
76. Predefined groups
77. How to find near-rings with certain properties
78. Defining near-rings with known multiplication table